Abstract
In this paper we develop a finite differencing device to calculate approximations of derivatives c′(0),c″(0),... of regular solution curves c:R∋s→c(s)∈Rn of nonlinear systems of equations f(x)=0,f∈Ck(Rn+1,Rn) without having to compute points on the solution curve c(s). The derivative vectors c′(0),c″(0),... can be used in the numerical approximation of the solution set f-1(0) to construct higher-order predictors to be used in the predictor-corrector continuation method.
Original language | English |
---|---|
Pages (from-to) | 131-144 |
Number of pages | 14 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 108 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - Aug 15 1999 |
Keywords
- Continuation method
- Implicitly defined curve* Higher order predictor
- Numerical differentiation
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics